Least Common Multiple (LCM) of 39 and 12
The least common multiple (LCM) of 39 and 12 is 156.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 39 and 12?
First, calculate the GCD of 39 and 12 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 12 = 3 remainder 3 |
| 2 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 188 | 34404 |
| 45 and 70 | 630 |
| 171 and 137 | 23427 |
| 141 and 77 | 10857 |
| 97 and 15 | 1455 |